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Finding the Fourth Proportional to 833.95, 1,251.37 and 340.58

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Solution

The fourth proportional to 833.95, 1,251.37 and 340.58 is: 511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.95 : 1,251.37 = 340.58 : x
  2. Step 2: Convert to fraction form
    833.95/1,251.37 = 340.58/x
  3. Step 3: Cross multiply
    833.95x = 1,251.37 × 340.58
  4. Step 4: Simplify right side
    833.95x = 426,192.59
  5. Step 5: Solve for x
    x = 426,192.59/833.95
  6. Step 6: Final answer
    x = 511.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.